SOLUTION: The first number is four more than two times the second number. The sum of the two numbers is ninety-seven. Find the numbers.

Question 630726: The first number is four more than two times the second number. The sum of the two numbers is ninety-seven. Find the numbers.
Answer by rmnavalta(7) (Show Source): You can put this solution on YOUR website!
Let x=the first number
97-x= the second number
The first number x is equal to 2 times the second number + 4, so the equation is
x=2(97-x)+4
x=194-2x+4 -- multiply 2 and (97-x), applying distributive property
x+2x=194-2x+4+2x --add 2x on both sides of the eqn
3x = 198 -- 194+4=198
(3x)/3 = 198/3 -- Divide both sides by 3
x=66 -------> the value of the first number
second number = 97-x
= 97-66
= 31
Answer: The two numbers are 66 and 31.

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